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Book synopsis

The theory of Lambda-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an "R"-tree was given by Tits in 1977. The importance of Lambda-trees was established by Morgan and Shalen, who showed how to compactify a generalization of Teichmuller space for a finitely generated group using "R"-trees. In that work they were led to define the idea of a Lambda-tree, where Lambda is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on "R"-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups Lambda, including some interesting connections with model theory. "Introduction to Lambda-Trees" should prove useful for mathematicians and research students in algebra and topology.

Book details

Book category Books in English Mathematics & science Mathematics Groups & group theory

• Full title: Introduction To Lambda Trees
• Author: Ian Chiswell
• Language: English
• Binding: Hardback
• Number of pages: 328
• EAN: 9789810243869
• ISBN: 9810243863
• ID: 05066656
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 560 g
• Dimensions: 162 × 224 × 22 mm
• Date of publishing: 01. March 2001

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